193 337 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
26555316679134711959	20	64.5	2007-08-24 14:48:02
951613220566553340767236512769	30	99.6	2017-08-14 23:59:18

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	263 / 1566

Estimated T-Level: 30.8 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	FC365C5104ED154A	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	FC365C5104ED154A	2	171647	1	3
Verified	2020-04-17	Oliver Kruse	1CA7ED71FCB673E9	2	32988	5	3
Verified	2023-08-24	USAFSS	1CA7ED71FCB673E9	2	48519	5	3

P-1 factors

Date	Factor	B1	B2
2017-08-14	951613220566553340767236512769	100000000	2000000000

History

Date	User	Type	Result
2023-08-24	Poao	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M193337/26555316679134711959/951613220566553340767236512769 : 1CA7ED71FCB673E9 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M193337/26555316679134711959/951613220566553340767236512769 : 1CA7ED71FCB673E9 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M193337/26555316679134711959/951613220566553340767236512769 : FC365C5104ED154A PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M193337/known_factors : FC365C5104ED154A PRP without proof (not generated)
2017-08-14	kkmrkkblmbrbk	F-PM1	Factor: 951613220566553340767236512769 / (P-1, B1=100000000, B2=2000000000, E=12)
2007-08-24	Chad Davis	F-ECM	Factor: 26555316679134711959